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Finding the Third Proportional to 2,843 and 3,844.50

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Solution

The third proportional to 2,843 and 3,844.50 is: 5,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843 : 3,844.50 = 3,844.50 : x
  2. Step 2: Convert to fraction form
    2,843/3,844.50 = 3,844.50/x
  3. Step 3: Cross multiply
    2,843x = 3,844.50 × 3,844.50
  4. Step 4: Simplify right side
    2,843x = 14,780,180.25
  5. Step 5: Solve for x
    x = 14,780,180.25/2,843
  6. Step 6: Final answer
    x = 5,198.80

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.